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Finding the Third Proportional to 125,583.75 and 188,657.44

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Solution

The third proportional to 125,583.75 and 188,657.44 is: 283,409.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,583.75 : 188,657.44 = 188,657.44 : x
  2. Step 2: Convert to fraction form
    125,583.75/188,657.44 = 188,657.44/x
  3. Step 3: Cross multiply
    125,583.75x = 188,657.44 × 188,657.44
  4. Step 4: Simplify right side
    125,583.75x = 35,591,628,724.07
  5. Step 5: Solve for x
    x = 35,591,628,724.07/125,583.75
  6. Step 6: Final answer
    x = 283,409.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.